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Lacking Data Recovery via Partially Overdetermined Boundary Conditions in Linear Elasticity

Abda AB and Khalfallah S

This work focuses on the sub-Cauchy problem for linear elasticity in two dimentional case. Solving such a problem may be formulated as follows: given the displacement and one component of the traction in a given part of the boundary of the elastic body, reconstruct the displacement field in all the domain. Author propose herein, an iterative method borrowed from the domain decomposition communauty to solve the sub-Cauchy problem. Numerical results highlight the efficiency of the proposed method.